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JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy
1 of 1
Application +4 | -1
Let f(x)=x5+2x3+3x+1,x∈R,f(x)=x^5+2 x^3+3 x+1, x \in R, and g(x)g(x) be a function such that g(f(x))=xg(f(x))=x for all x∈R.x \in R. Then g(7)g′(7)\frac{g(7)}{g^{\prime}(7)} is equal to:
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Correct option: D
14
The correct answer is D (14). The problem involves finding the derivative of an inverse function and evaluating the ratio at a specific point.

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